Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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23rd May 2021

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Fractional and Negative Indices3 marks

    Work out 100^(3/2).

  2. 2
    Trigonometric and Exponential Graphs2 marks

    The curve y = 5^x is drawn. Work out y when x = 1, and write down where the curve crosses the y-axis.

  3. 3
    Direct and Inverse Proportion3 marks

    y is inversely proportional to x. When x = 4, y = 25. Work out y when x = 5.

  4. 4
    Vectors3 marks

    a is the column vector (2, 2) and b is (-1, 5). Work out 5a - 4b as a column vector.

  5. 5
    Probability Trees3 marks

    1 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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